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3140811936 = 253744879
BaseRepresentation
bin1011101100110100…
…1111110010100000
322002212222210000000
42323031033302200
522413021440221
61235354300000
7140555314053
oct27315176240
98085883000
103140811936
1113719a7549
12737a27600
133b0917302
1421b1bca9a
15135b0ae26
hexbb34fca0

3140811936 has 96 divisors (see below), whose sum is σ = 9274003200. Its totient is φ = 1046913984.

The previous prime is 3140811917. The next prime is 3140811937. The reversal of 3140811936 is 6391180413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3140811936.

It is not an unprimeable number, because it can be changed into a prime (3140811937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47545 + ... + 92423.

It is an arithmetic number, because the mean of its divisors is an integer number (96604200).

Almost surely, 23140811936 is an apocalyptic number.

3140811936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140811936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4637001600).

3140811936 is an abundant number, since it is smaller than the sum of its proper divisors (6133191264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3140811936 is an frugal number, since it uses more digits than its factorization.

3140811936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44910 (or 44884 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3140811936 is about 56042.9472458400. The cubic root of 3140811936 is about 1464.4705555382.

The spelling of 3140811936 in words is "three billion, one hundred forty million, eight hundred eleven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 7776 8748 11664 17496 23328 34992 44879 69984 89758 134637 179516 269274 359032 403911 538548 718064 807822 1077096 1211733 1436128 1615644 2154192 2423466 3231288 3635199 4308384 4846932 6462576 7270398 9693864 10905597 12925152 14540796 19387728 21811194 29081592 32716791 38775456 43622388 58163184 65433582 87244776 98150373 116326368 130867164 174489552 196300746 261734328 348979104 392601492 523468656 785202984 1046937312 1570405968 3140811936